Greatest Common Factor of 4362/258, 3205/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4362/258, 3205/132

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 4362/258,3205/132

Given fractions are 4362/258,3205/132

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4362,3205

Greatest Common Factor of Numerators i.e. GCF of 4362,3205 is 1 .

LCM of Denominators means LCM of 258,132 as per the given fractions.

LCM of 258,132 is 5676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4362,3205

GCF of Fractions 4362/258,3205/132 is 1/5676

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4362,3205 By Matching Biggest Common Factor Method

Greatest Common Factor of 4362,3205 By Matching Biggest Common Factor Method

Factors of 4362

List of positive integer factors of 4362 that divides 4362 without a remainder.

1,2,3,6,727,1454,2181,4362

Factors of 3205

List of positive integer factors of 3205 that divides 3205 without a remainder.

1,5,641,3205

Greatest Common Factor

We found the factors 4362,3205 . The biggest common factor number is the GCF number.
So the greatest common factor 4362,3205 is 1.

Lets's calculate LCM of 258,132

2 258, 132
3 129, 66
43, 22

∴ So the LCM of the given numbers is 2 x 3 x 43 x 22 = 5676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5676

Therefore, the GCF of Fractions 4362/258,3205/132 is 1/5676

Least Common Multiple of 258,132 with GCF Formula

Least Common Multiple of 258,132 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 258,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,132) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(258,132) x common factors =6 x 1 = 6

LCM(258,132) = ( 258 × 132 ) / 6

LCM(258,132) = 34056 / 6

LCM(258,132) = 5676


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4362/258, 3205/132

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 4362/258, 3205/132?

Answer: GCF of Numerators as per given numbers 4362/258, 3205/132 is

GCF of Numerators i.e. for 4362,3205 is 1

LCM of denominators i.e. for 258,132 is 5676.

Thus, GCF of Fractions is 1/5676.Finally, GCF of Fractions for 4362/258, 3205/132 is 1/5676.